Least Common Multiple of 686/72, 520/66, 523/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/72, 520/66, 523/856 quickly i.e. 46641140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/72, 520/66, 523/856 is 46641140.

LCM(686/72, 520/66, 523/856) = 46641140

LCM of 686/72, 520/66, 523/856

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 686/72,520/66,523/856

Given numbers are 686/72,520/66,523/856

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 686,520,523

Least Common Multiple of Numerators i.e. LCM of 686,520,523 is 93282280.

GCF of Denominators means GCF of 72,66,856 as per the given fractions.

GCF of 72,66,856 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,520,523

LCM of Fractions 686/72,520/66,523/856 is 46641140

2 686, 520, 523
343, 260, 523

∴ So the LCM of the given numbers is 2 x 343 x 260 x 523 = 93282280

Least Common Multiple of 686,520,523 with GCF Formula

Least Common Multiple of 686,520,523 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 686,520,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,520,523) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(686,520,523) x common factors =1 x 2 = 2

LCM(686,520,523) = ( 686 × 520 × 523 ) / 2

LCM(686,520,523) = 186564560 / 2

LCM(686,520,523) = 93282280


Lets's calculate GCF of 72,66,856

2 72, 66, 856
36, 33, 428

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93282280/2

Therefore the LCM of Fractions 686/72,520/66,523/856 is 46641140

Greatest Common Factor of 72,66,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,66,856 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 72,66,856 . The biggest common factor number is the GCF number.
So the greatest common factor 72,66,856 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 686/72, 520/66, 523/856

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 686/72, 520/66, 523/856?

Answer: LCM of Numerators as per given numbers 686/72, 520/66, 523/856 is

LCM of Numerators i.e. for 686,520,523 is 93282280

GCF of denominators i.e. for 72,66,856 is 2.

Thus, LCM of Fractions is 46641140.Finally, LCM of Fractions for 686/72, 520/66, 523/856 is 46641140.